37 citations · 125 across the 37 of their papers we have counts for
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A note on homotopy minimal periods for hyperbolic maps on infra-nilmanifolds
Karel Dekimpe, Gert-Jan Dugardein
In this paper, we show that for every non-nilpotent hyperbolic map on an infra-nilmanifold, the is cofinite in . This generalizes a similar resul…
Expanding maps and non-trivial self-covers on infra-nilmanifolds
Karel Dekimpe, Jonas Deré
Every expanding map on a closed manifold is topologically conjugate to an expanding map on an infra-nilmanifold, but not every infra-nilmanifold admits an expanding map. In this ar…
Existence of Anosov diffeomorphisms on infra-nilmanifolds modeled on free nilpotent Lie groups
Karel Dekimpe, Jonas Deré
An infra-nilmanifold is a manifold which is constructed as a quotient space of a simply connected nilpotent Lie group , where is a discrete group acting prop…
What an infra-nilmanifold endomorphism really should be
Karel Dekimpe
Infra-nilmanifold endomorphisms were introduced in the late sixties. They play a very crucial role in dynamics, especially when studying expanding maps and Anosov diffeomorphisms.…